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Title

Hyperbolic Voronoi Diagram: A Fast Method

Year: 1392
COI: JR_IJOCIT-1-1_001
Language: EnglishView: 296
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Authors

Zahra Nilforoushan - Department of Computer Engineering Kharazmi University Iran
Ali Mohadesm - Mathematics and Computer Science Kharazmi University1, Amirkabir University of Technology Iran
Amin Gheibi - Department of Computer Engineering Carleton University Canada
Sina Khakabi - Department of Computer Engineering Canada

Abstract:

oronoi diagrams have useful applications in various fields and are one of the mostfundamental concepts in computational geometry. Although Voronoi diagrams in the plane have beenstudied extensively, using different notions of sites and metrics, little is known for other geometricspaces. In this paper, we present a simple method to construct the Voronoi diagram of a set of pointsin the Poincare hyperbolic disk, which is a 2-dimensional manifold with negative curvature. Our trickis to define and use some well-formed geometric maps which take care of connection between theEuclidean plane and Poincare hyperbolic disk. Finally, we give a brief report of our implementation.

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Paper COI Code

This Paper COI Code is JR_IJOCIT-1-1_001. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/443514/

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Nilforoushan, Zahra and Mohadesm, Ali and Gheibi, Amin and Khakabi, Sina,1392,Hyperbolic Voronoi Diagram: A Fast Method,https://civilica.com/doc/443514

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Type of center: دانشگاه دولتی
Paper count: 11,657
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